# Analyzing Concavity of a Function

Second Derivative: Concavity

Tip: This isn't the place to ask a question because the teacher can't reply.

## Key Questions

• For a quadratic function $f \left(x\right) = a {x}^{2} + b x + c$,
if $a > 0$, then $f$ is concave upward everywhere,
if $a < 0$, then $f$ is concave downward everywhere.

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